What is ln √ e equal to
ln√e
=ln(e)^1/2
=1/2lne
=1/2
The primitive function of Ln (1 / x)
∫㏑﹙1/x﹚dx
=﹣∫㏑xdx
=﹣﹙x㏑x-∫xd㏑x﹚…… Partial integral
=-x㏑x﹢x﹢C
How to find the primitive function of LN x
∫lnx dx
=xlnx-∫xd(lnx)
=xlnx-∫dx
=xlnx-x+C
C is an arbitrary constant